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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2500-0535</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">43290</article-id>
   <article-id pub-id-type="doi">10.12737/stp-72202102</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Results of current research</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Force balance in current sheets in collisionless plasma</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Force balance in current sheets in collisionless plasma</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мингалев</surname>
       <given-names>Олег Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mingalev</surname>
       <given-names>Oleg Viktorovich</given-names>
      </name>
     </name-alternatives>
     <email>mingalev_o@pgia.ru</email>
     <bio xml:lang="ru">
      <p>кандидат физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сецко</surname>
       <given-names>Павел Владимирович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Setsko</surname>
       <given-names>Pavel Vladimirvoich</given-names>
      </name>
     </name-alternatives>
     <email>setsko@pgia.ru</email>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мельник</surname>
       <given-names>Михаил Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Melnik</surname>
       <given-names>Mikhail Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>melnik@pgia.ru</email>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мингалев</surname>
       <given-names>Игорь Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Mingalev</surname>
       <given-names>Igor Viktorovich</given-names>
      </name>
     </name-alternatives>
     <email>mingalev_i@pgia.ru</email>
     <bio xml:lang="ru">
      <p>доктор физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-5"/>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Малова</surname>
       <given-names>Хельми Витальевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Malova</surname>
       <given-names>Helmi Vitalyevna</given-names>
      </name>
     </name-alternatives>
     <email>hmalova@yandex.ru</email>
     <xref ref-type="aff" rid="aff-7"/>
     <xref ref-type="aff" rid="aff-8"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Мерзлый</surname>
       <given-names>Алексей Михайлович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Merzlyi</surname>
       <given-names>Alexey Mihaylovich</given-names>
      </name>
     </name-alternatives>
     <email>pinega142@yandex.ru</email>
     <xref ref-type="aff" rid="aff-9"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Полярный геофизический институт РАН</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Polar Geophysical Institute RAS</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Мурманский арктический государственный университет</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Murmansk Arctic State University</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Полярный Геофизический институт РАН</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Polar Geophysical InstituteRAS</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Полярный геофизический институт РАН</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Polar Geophysical Institute RAS</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Полярный геофизический институт РАН</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Polar Geophysical Institute RAS</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">Мурманский арктический государственный университет</institution>
     <city>Апатиты</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Murmansk Arctic State University</institution>
     <city>Apatity</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-7">
    <aff>
     <institution xml:lang="ru">Научно-исследовательский институт ядерной физики им. Д.В. Скобельцына МГУ</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Skobeltsyn Institute of Nuclear Physics Lomonosov Moscow State University</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-8">
    <aff>
     <institution xml:lang="ru">Институт космических исследований РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Space Research Institute RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-9">
    <aff>
     <institution xml:lang="ru">Институт космических исследований РАН</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Space Research Institute RAS</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>7</volume>
   <issue>2</issue>
   <fpage>11</fpage>
   <lpage>21</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-04-06T00:00:00+03:00">
     <day>06</day>
     <month>04</month>
     <year>2021</year>
    </date>
    <date date-type="accepted" iso-8601-date="2021-06-01T00:00:00+03:00">
     <day>01</day>
     <month>06</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/43290/view">https://zh-szf.ru/en/nauka/article/43290/view</self-uri>
   <abstract xml:lang="ru">
    <p>In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In this paper, we derive a divergent form of the force balance equation for collisionless plasma in the quasineutrality approximation, in which the electric field and current density are excluded. For a stationary spatially one-dimensional current sheet with a constant normal component of the magnetic field and magnetized electrons, the general form of the force balance equation has been obtained for the first time in the form of a conservation law. An equation in this form is necessary for the correct formulation of boundary conditions when modeling asymmetric current sheets, as well as for the control of the stationarity of the numerical solution obtained in the model. Furthermore, the fulfillment of this equation is considered for two types of stationary configurations of a thin current sheet, which are obtained using a numerical model. The derived equation makes it possible to develop models of asymmetric current sheets, in particular current sheets on the magnetopause flanks in the magnetotail.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>collisionless plasma</kwd>
    <kwd>Vlasov equation</kwd>
    <kwd>current sheet</kwd>
    <kwd>numerical simulation</kwd>
    <kwd>Earth’s magnetosphere</kwd>
    <kwd>magnetized electrons</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>collisionless plasma</kwd>
    <kwd>Vlasov equation</kwd>
    <kwd>current sheet</kwd>
    <kwd>numerical simulation</kwd>
    <kwd>Earth’s magnetosphere</kwd>
    <kwd>magnetized electrons</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
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